72555966 has 96 divisors (see below), whose sum is σ = 198715680. Its totient is φ = 19498752.

The previous prime is 72555947. The next prime is 72555971. The reversal of 72555966 is 66955527.

72555966 is a `hidden beast` number, since 7 + 2 + 55 + 596 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44176 + ... + 45788.

It is an arithmetic number, because the mean of its divisors is an integer number (2069955).

Almost surely, 2^72555966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72555966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99357840).

72555966 is an abundant number, since it is smaller than the sum of its proper divisors (126159714).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72555966 is a wasteful number, since it uses less digits than its factorization.

72555966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1655 (or 1642 counting only the distinct ones).

The product of its digits is 567000, while the sum is 45.

The square root of 72555966 is about 8517.9789856515. The cubic root of 72555966 is about 417.0848127267.

The spelling of 72555966 in words is "seventy-two million, five hundred fifty-five thousand, nine hundred sixty-six".